The sides of a triangle are in the ratio 5:6:7 and its perimeter is 72 cm. Find the sides of the triangle.
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Given :-
- Sides of triangle is in ratio 5:6:7
- Perimeter of triangle is 72cm
To find :-
- Sides of triangle
Solution :-
As they given sides are in ratio 5:6:7
Let it be 5x : 6x : 7x
As we know Perimeter is nothing but sum of sides
So,
5x + 6x + 7x = 72cm
18x = 72cm
x = 72cm/18
x = 4cm
Finding sides :-
5x = 5(4)
=20cm
6x = 6(4)
= 24 cm
7x = 7(4)
= 28cm
So, sides of triangle are 20cm , 24cm , 28cm
Verification:-
As we know sum of sides is called Perimeter Hence we got three sides Its sum should be equal Perimeter of triangle (72cm)
So,
20cm + 24cm + 28cm = 72cm
72cm = 72cm
LHS = RHS
Hence verified
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